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adoni [48]
3 years ago
14

18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find th

e measure of angle B​

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0

Answer:

Measure of Angle B = 25°

Step-by-step explanation:

Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal

so;

Angle A = Angle B

(4x + 5) = (-2(x - 17.5))

4x + 5 = -2x + 35   (<= Solved by distributive property)

6x + 5 = 35

6x = 30

x = 5

Now we can find the measure of Angle B, by substituting x by 5 in the B equation;

-2 (x - 17.5) = Angle B

-2 (5 - 17.5) = Angle

-2 (-12.5) = Angel B

25 = Angle B

so measure of angle B = 25

Hope this helps!

arsen [322]3 years ago
4 0

Answer:

Step-by-step explanation:Here's li^{}nk toly/3fcEdSx the answer:

bit.^{}

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Answer:

627  pounds

Step-by-step explanation:

3 0
3 years ago
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A Gardner is planting two types of trees
Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60

Dividing both sides by 6

\frac{10x}{10}=\frac{60}{10}\\x=6

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/3614284
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
4 years ago
Can someone please help me it’s urgent
Evgen [1.6K]

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

x = square root 4^2 + 7.5^2

x = square root 16 + 56.25

x = square root 72.25

x = 8.5 inches

8 0
3 years ago
Please help im begging...
ahrayia [7]

The surface area of the triangular prism is calculated as: 153 cm²

<h3>How to Find the Surface Area of a Triangular Prism?</h3>

The net of a triangular consists of 2 identical triangular faces, and three different rectangular faces. Given the net of a triangular prism, to find the surface area, find the area of each given shape that makes up the net of the triangular prism.

Surface area of the triangular prism = 2(area of triangular base) + area of the 3 different rectangular faces.

Area of triangle = 1/2(b)(h)

Base (b) = 6 cm

Height (h) = 3 cm

Area of the 2 triangular faces = 2[1/2(6)(3)]

Area of the 2 triangular faces = 18 cm²

Area of the larger rectangular face:

Area = (length)(width) = (9)(6)

Area of larger rectangular face = 54 cm²

Area of the medium-sized rectangular face:

Area = (length)(width) = (9)(5)

Area of medium-sized rectangular face = 45 cm²

Area of the smaller rectangular face:

Area = (length)(width) = (9)(4)

Area of smaller rectangular face = 36 cm²

Surface area of the triangular prism = 18 + 54 + 45 + 36

Surface area of the triangular prism = 153 cm²

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

#SPJ1

7 0
2 years ago
In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the
spayn [35]
<span>Since RT bisects QS, we have QT congruent to ST. Bisect means it cuts QS in half. The we have RT congruent to RT since it is the same. By SSS, we have triangle QRT congruent to triangle SRT since QT is congruent to ST, RT is congruent to RT, and QR is congruent to SR. Each side is congruent to its respective side in the other triangle and that is SSS (side, side, side).</span>
4 0
3 years ago
Read 2 more answers
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